### Abstract

The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

Original language | English (US) |
---|---|

Article number | 042151 |

Journal | Physical Review E |

Volume | 92 |

Issue number | 4 |

DOIs | |

State | Published - Oct 26 2015 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

*Physical Review E*,

*92*(4), [042151]. https://doi.org/10.1103/PhysRevE.92.042151

**Aging and coarsening in isolated quantum systems after a quench : Exact results for the quantum O(N) model with N → ∞.** / Maraga, Anna; Chiocchetta, Alessio; Mitra, Aditi; Gambassi, Andrea.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 92, no. 4, 042151. https://doi.org/10.1103/PhysRevE.92.042151

}

TY - JOUR

T1 - Aging and coarsening in isolated quantum systems after a quench

T2 - Exact results for the quantum O(N) model with N → ∞

AU - Maraga, Anna

AU - Chiocchetta, Alessio

AU - Mitra, Aditi

AU - Gambassi, Andrea

PY - 2015/10/26

Y1 - 2015/10/26

N2 - The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

AB - The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features for a quench of the parameters of a Hamiltonian with O(N) symmetry, starting from a ground state in the disordered phase. In the limit of infinite N, the exponents and scaling forms of the relevant two-time correlation functions can be calculated exactly. Our analytical predictions are confirmed by the numerical solution of the corresponding equations. Moreover, we find that the same scaling functions, yet with different exponents, also describe the coarsening dynamics for quenches below the dynamical critical point.

UR - http://www.scopus.com/inward/record.url?scp=84946811033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84946811033&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.92.042151

DO - 10.1103/PhysRevE.92.042151

M3 - Article

VL - 92

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 4

M1 - 042151

ER -